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LCM of 819, 302, 368, 299

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 819, 302, 368, 299 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 819, 302, 368, 299. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 819,302,368,299

Given numbers are 819,302,368,299

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 819,302,368,299 is 45510192.

Find LCM of 819,302,368,299 with Prime Factorization


2 819, 302, 368, 299
13 819, 151, 184, 299
23 63, 151, 184, 23
63, 151, 8, 1

Multiply the prime numbers at the bottom and the left side.

2 x 13 x 23 x 63 x 151 x 8 x 1 = 45510192

Therefore, the lowest common multiple of 819,302,368,299 is 45510192.

LCM Formula to Find Lowest Common Multiple of 819,302,368,299

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

819 x 302 x 368 x 299 = 27215094816

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

302 : 1, 2, 151, 302

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,302,368,299, is 1.

Now, the common factors can be found like this.

819:3x 3x 7x 13

302:2x 151

368:2x 2x 2x 2x 23

299:13x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 13x 23 = 598

Therefore, the value for common factors is 598.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 27215094816/(1x598)

LCM = 27215094816/598

LCM = 45510192

Thus, we can understand that the LCM of 819,302,368,299 is 45510192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 819, 302, 368, 299

1. What is the LCM of 819, 302, 368, 299?

Answer: LCM of 819, 302, 368, 299 is 45510192.

2. How to calculate the LCM of 819, 302, 368, 299?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 819, 302, 368, 299.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.